I-statistical convergence in probabilistic normed spaces

Küçük Resim Yok

Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Politechnica University of Bucharest

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we introduce a new type of summability notion, namely, I - statistical convergence and I -lacunary statistical convergence for double sequences in probabilistic normed space, which is a natural generalization of the notion of natural density, statistical convergence and lacunary statistical convergence using the notion of ideals of the set of positive integers N. In this context, we investigate their relationship, and make some observations about these classes using the tools of probabilistic normed space.

Açıklama

Anahtar Kelimeler

Double sequence, I-lacunary statistical convergence, I-statistical convergence, Ideal, Probabilistic normed space, T -norm

Kaynak

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

77

Sayı

4

Künye